Free vibration response of bio inspired helicoidal laminate plates in hygro thermal environments with nonlinear rotational layup angles

Ghani Gourdache , Mohammed El Amin Bourouis , Abderrahmane Menasria , Abdelhakim Bouhadra , Mohamed Bourada , Abdelmoumen Anis Bousahla , Abdelouahed Tounsi , Mohammed A. Balubaid , A.A. Alsolami , S.R. Mahmoud

Abstract

This study investigates the hygrothermal–thermodynamic free-vibration response of bio-inspired helicoidal laminated composite plates. A simplified integral Higher-Order Shear Deformation Theory (HSDT) is used to model a range of nonlinear rotation-angle layups, including Helicoidal-Recursive (HR), Helicoidal- Exponential (HE), Helicoidal-Semicircular (HS), Fibonacci Helicoidal (FH), and Linear Helicoid (LH) configurations. An analytical 2D formulation with four unknowns was developed using integral expressions. The motion equations were derived using Hamilton' principle and solved using the Navier method. Our findings clarify how hygrothermal environments affect laminated composite structures, revealing distinct performance differences between conventional and bio-inspired helicoidal designs under these conditions. Both temperature and moisture, individually and in combination, consistently lowered the fundamental vibration frequencies, indicating reduced structural stiffness under environmental loading. We examined the effects of key factors, including layer count (up to 50), helicoidal layup schemes, and geometric properties, on the free-vibration behaviour. This comprehensive analysis advances the understanding of vibrational performance under varying conditions and offers valuable guidance for designing composites with improved environmental resilience, particularly in aerospace and marine applications. The novelty of this study lies in its detailed examination of the hygrothermodynamic behaviour of bioinspired helicoidal composites, offering valuable insights for optimising structural integrity in fluctuating environmental settings.

Key Words

bio-inspired helicoidal; hamilton; hygro-thermo-dynamic; laminated plates; vibration

Address

Ghani Gourdache — Materials and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Department of Civil Engineering, BP 89, Sidi Bel Abbes 22000, Algeria; Department of Civil Engineering, Faculty of Civil Engineering and Architecture Engineering, Amar Telidji University, Laghouat, Algeria
Mohammed El Amin Bourouis — Department of Civil Engineering, Faculty of Civil Engineering and Architecture Engineering, Amar Telidji University, Laghouat, Algeria; Laboratory of Structures, Geotechnics and Risks, Department of Civil Engineering, Hassiba Benbouali University of Chlef, Ouled Fares, Algeria
Abderrahmane Menasria and Abdelhakim Bouhadra — Materials and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Department of Civil Engineering, BP 89, Sidi Bel Abbes 22000, Algeria; University of Khenchela, Faculty of Sciences and Technology, Department of Civil Engineering, BP 1252 Road of Batna, Khenchela 40000, Algeria
Mohamed Bourada — Materials and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Department of Civil Engineering, BP 89, Sidi Bel Abbes 22000, Algeria
Abdelmoumen Anis Bousahla — Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbés, Algeria
Abdelouahed Tounsi — Materials and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Department of Civil Engineering, BP 89, Sidi Bel Abbes 22000, Algeria; Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia
Mohammed A. Balubaid — Department of Industrial Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia
A.A. Alsolami — Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
S.R. Mahmoud — Department of GRC, Applied College, King Abdulaziz University, Jeddah, Saudi Arabia

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